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427648940 = 225176718773
BaseRepresentation
bin11001011111010…
…110011110101100
31002210200211001122
4121133112132230
51333434231230
6110234000112
713411645625
oct3137263654
91083624048
10427648940
111aa43aa84
12bb276038
136a7a2414
1440b20a4c
1527825be5
hex197d67ac

427648940 has 48 divisors (see below), whose sum is σ = 965133792. Its totient is φ = 158585856.

The previous prime is 427648939. The next prime is 427648967. The reversal of 427648940 is 49846724.

It is a junction number, because it is equal to n+sod(n) for n = 427648891 and 427648900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13394 + ... + 32166.

It is an arithmetic number, because the mean of its divisors is an integer number (20106954).

Almost surely, 2427648940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427648940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482566896).

427648940 is an abundant number, since it is smaller than the sum of its proper divisors (537484852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427648940 is a wasteful number, since it uses less digits than its factorization.

427648940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18866 (or 18864 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 427648940 is about 20679.6745622362. The cubic root of 427648940 is about 753.4061019499.

The spelling of 427648940 in words is "four hundred twenty-seven million, six hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 670 1139 1340 2278 4556 5695 11390 18773 22780 37546 75092 93865 187730 319141 375460 638282 1257791 1276564 1595705 2515582 3191410 5031164 6288955 6382820 12577910 21382447 25155820 42764894 85529788 106912235 213824470 427648940